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Finding the Fourth Proportional to 80,538.23, 120,797.95 and 21,378.50

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Solution

The fourth proportional to 80,538.23, 120,797.95 and 21,378.50 is: 32,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,538.23 : 120,797.95 = 21,378.50 : x
  2. Step 2: Convert to fraction form
    80,538.23/120,797.95 = 21,378.50/x
  3. Step 3: Cross multiply
    80,538.23x = 120,797.95 × 21,378.50
  4. Step 4: Simplify right side
    80,538.23x = 2,582,478,974.08
  5. Step 5: Solve for x
    x = 2,582,478,974.08/80,538.23
  6. Step 6: Final answer
    x = 32,065.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.